ON GENERALIZED ROUGH (m, n)-BI-Gamma-HYPERIDEALS IN Gamma-SEMIHYPERGROUPS


HI K., Ersoy B. A. , Onar S. , DAVVAZ B.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.77, ss.93-104, 2015

  • Cilt numarası: 77 Konu: 2
  • Basım Tarihi: 2015
  • Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
  • Sayfa Sayısı: ss.93-104

Özet

Recently, in [12], Yaqoob et al. introduced the notion of (m,n)-bi-Gamma-hyperideals and applied the concept of rough set theory to (m,n)-bi-Gamma-hyperideals, which is a generalization of (m,n)-bi-Gamma-hyperideals of Gamma-semihypergroups. In this paper, applying the rough set theory based on an arbitrary binary relation (not an equivalent relation) we extend and generalize these notions, introducing the notion of generalized rough (m,0)-Gamma-hyperideals (generalized rough (0, n)-Gamma-hyperideals), generalized rough (m, n)-quasi and bi-Gamma-hyperideals and generalized rough m-left Gamma-hyperideals) and establish some of their basic properties in Gamma-semihypergroups.